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Finding the Fourth Proportional to 630.72, 946.17 and 478.53

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Solution

The fourth proportional to 630.72, 946.17 and 478.53 is: 717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.72 : 946.17 = 478.53 : x
  2. Step 2: Convert to fraction form
    630.72/946.17 = 478.53/x
  3. Step 3: Cross multiply
    630.72x = 946.17 × 478.53
  4. Step 4: Simplify right side
    630.72x = 452,770.73
  5. Step 5: Solve for x
    x = 452,770.73/630.72
  6. Step 6: Final answer
    x = 717.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.